Combining Philosophers

All the ideas for Anaxarchus, Thoralf Skolem and Jeff McMahan

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29 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Legal excuses are duress, ignorance, and diminished responsibility [McMahan]
25. Social Practice / C. Rights / 1. Basis of Rights
Liberty Rights are permissions, and Claim Rights are freedom from intervention [McMahan]
25. Social Practice / E. Policies / 1. War / a. Just wars
The worst unjustified wars have no aim at all [McMahan]
A defensive war is unjust, if it is responding to a just war [McMahan]
A person or state may be attacked if they are responsible for an unjustified threat [McMahan]
You (e.g. a police officer) are not liable to attack just because you pose a threat [McMahan]
Wars can be unjust, despite a just cause, if they are unnecessary or excessive or of mixed cause [McMahan]
Just war theory says all and only persons posing a threat are liable to attack [McMahan]
25. Social Practice / E. Policies / 1. War / b. Justice in war
Proportionality in fighting can't be judged independently of the justice of each side [McMahan]
Can an army start an unjust war, and then fight justly to defend their own civilians? [McMahan]
Soldiers cannot freely fight in unjust wars, just because they behave well when fighting [McMahan]
The law of war differs from criminal law; attacking just combatants is immoral, but legal [McMahan]
If the unjust combatants are morally excused they are innocent, so how can they be killed? [McMahan]
25. Social Practice / E. Policies / 1. War / c. Combatants
You don't become a legitimate target, just because you violently resist an unjust attack [McMahan]
If all combatants are seen as morally equal, that facilitates starting unjust wars [McMahan]
Volunteer soldiers accept the risk of attack, but they don't agree to it, or to their deaths [McMahan]
If being part of a big collective relieves soldiers of moral responsibility, why not the leaders too? [McMahan]
If soldiers can't refuse to fight in unjust wars, can they choose to fight in just wars? [McMahan]
Equality is both sides have permission, or both sides are justified, or one justified the other permitted [McMahan]
Fighting unjustly under duress does not justify it, or permit it, but it may excuse it [McMahan]
Soldiers cannot know enough facts to evaluate the justice of their war [McMahan]
25. Social Practice / E. Policies / 1. War / d. Non-combatants
Innocence implies not being morally responsible, rather than merely being guiltless [McMahan]
25. Social Practice / E. Policies / 1. War / e. Peace
Unconditional surrender can't be demanded, since evil losers still have legitimate conditions [McMahan]